SOLUTION: The base of an isosceles triangle is two-fifths the length of each of the congruent sides. The perimeter of the triangle is 60 cm. How long is the base

Question 830068: The base of an isosceles triangle is two-fifths the length of each of the congruent sides. The perimeter of the triangle is 60 cm. How long is the base
Answer by jean14(9) (Show Source): You can put this solution on YOUR website!
perimeter is simply the sum of all sides.
Congruent sides have same length.
solve;
Let x be the length of the 2 congruent sides
2/5 x be the base length

Make equation when perimeter is 60, solve for x.
60 = x + x + 2x/5
60 = 2x + 2x/5
60 = 2 2x/5
60=12x/5 multiply both sides by 5
5(60) = (12x/5) 5
300 =12x divide both sides by 12
300/12 = 12x/12
25 = x
The value of each congruent sides is 25cm. And the base is 2/5(25)=base
Then,, 50/5=10cm is the base length...

Check:
60cm = 25cm +25cm + 2/5(25cm)
60cm = 50cm + 10cm
60cm =60cm True

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